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Finding the Fourth Proportional to 708.98, 1,061.64 and 490.28

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Solution

The fourth proportional to 708.98, 1,061.64 and 490.28 is: 734.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.98 : 1,061.64 = 490.28 : x
  2. Step 2: Convert to fraction form
    708.98/1,061.64 = 490.28/x
  3. Step 3: Cross multiply
    708.98x = 1,061.64 × 490.28
  4. Step 4: Simplify right side
    708.98x = 520,500.86
  5. Step 5: Solve for x
    x = 520,500.86/708.98
  6. Step 6: Final answer
    x = 734.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.